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Finding the Fourth Proportional to 315,129, 472,693.50 and 93,513

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Solution

The fourth proportional to 315,129, 472,693.50 and 93,513 is: 140,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,129 : 472,693.50 = 93,513 : x
  2. Step 2: Convert to fraction form
    315,129/472,693.50 = 93,513/x
  3. Step 3: Cross multiply
    315,129x = 472,693.50 × 93,513
  4. Step 4: Simplify right side
    315,129x = 44,202,987,265.50
  5. Step 5: Solve for x
    x = 44,202,987,265.50/315,129
  6. Step 6: Final answer
    x = 140,269.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.